Eigensystem mathematica11/22/2023 ![]() Infinite generalized eigenvalues correspond to those for which. Ordinary eigenvalues are always finite generalized eigenvalues can be infinite.The generalized finite eigenvalues and eigenvectors satisfy m.The eigenvalues and eigenvectors satisfy the matrix equation m.If they are numeric, eigenvalues are sorted in order of decreasing absolute value.If there are more eigenvalues than independent eigenvectors, then each extra eigenvalue is paired with a vector of zeros.The eigenvalues correspond to rows in the eigenvector matrix. If the number of eigenvectors is equal to the number of nonzero eigenvalues, then corresponding eigenvalues and eigenvectors are given in corresponding positions in their respective lists. All the nonzero eigenvectors given are independent.For exact or symbolic matrices m, the eigenvectors are not normalized.For approximate numerical matrices m, the eigenvectors are normalized.Eigensystem finds numerical eigenvalues and eigenvectors if m contains approximate real or complex numbers.
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